the Nest of Students

G. R. Liu, S. S. Quek ...
464 pages -Publisher: Butterworth-Heinemann; 2nd edition (September 27, 2013) ... 
Language: English - ISBN-10: 0080983561 - ISBN-13: 978-0080983561 ...

G. Lakshmi Narasaiah ... 349 pages - Publisher: BS Publications; (2008) ... Language: English - ISBN-10:  9788178001401- ISBN-13: 9788178001401.

1. Introduction. 2. Matrix operations. 3. Theory of elasticity. 4. Discrete (1 D) elements. 5. Continuum (2 D and 3 D) elements. 6. Higher order and Iso parametric elements. 7. Factors influencing solution. 8. Dynamic analysis (undamped free vibrations). 9. Steady state heat conduction. 10. Design validation and other types of analysis. 11. Computational fluid dynamics. 12. Practical analysis using a software. Objective questions. Answers. References for additional reading. Index. Finite element method popularly known as FEM has undergone a major paradigm shift from a detailed mathematical background to write tailor made computer programs to an understanding of the subject for better utilisation of available software such as ANSYS NISA ADINA PAFEC NASTRAN etc. 

David V. Hutton ... 
494 pages - Publisher: Tata McGraw Hill India; 1st edition (2003)
Language: English - ISBN-10: 0070601224 - ISBN-13: 978-0070601222

This new text, intended for the senior undergraduate finite element course in mechanical, civil and aerospace engineering departments, gives students a solid, practical understanding of the principles of the finite element method within a variety of engineering applications.

Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of senior engineering students. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of finite element analysis to nonstructural problems.

The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples. A Book Website is also included, with book illustrations for class presentation; complete problem solutions (password protected); the FEPC 2-D finite element program for student use; instructions on FEPC and its use with the text; and links to commercial FEA sites.

Ellis H. Dill ... 508 pages - Publisher: CRC Press; (August, 2011) ... Language: English - ASIN: B00UV98WSC by Amazon Digital Services...

While the finite element method (FEM) has become the standard technique used to solve static and dynamic problems associated with structures and machines, ANSYS software has developed into the engineer’s software of choice to model and numerically solve those problems. An invaluable tool to help engineers master and optimize analysis, The Finite Element Method for Mechanics of Solids with ANSYS Applications explains the foundations of FEM in detail, enabling engineers to use it properly to analyze stress and interpret the output of a finite element computer program such as ANSYS. Illustrating presented theory with a wealth of practical examples, this book covers topics including: Essential background on solid mechanics (including small- and large-deformation elasticity, plasticity, and viscoelasticity) and mathematics. + Advanced finite element theory and associated fundamentals, with examples. + Use of ANSYS to derive solutions for problems that deal with vibration, wave propagation, fracture mechanics, plates and shells, and contact. Totally self-contained, this text presents step-by-step instructions on how to use ANSYS Parametric Design Language (APDL) and the ANSYS Workbench to solve problems involving static/dynamic structural analysis (both linear and non-linear) and heat transfer, among other areas. It will quickly become a welcome addition to any engineering library, equally useful to students and experienced engineers alike.

Friedel Hartmann, Casimir Katz ... 
598 pages
Publisher: Springer; 2nd edition (May 29, 2007)
Language: English
ISBN-10: 354049698X
ISBN-13: 978-3540496984

This book provides a solid introduction to the foundation and the application of the finite element method in structural analysis. It offers new theoretical insight and practical advice. This second edition contains additional sections on sensitivity analysis, on retrofitting structures, on the Generalized FEM (X-FEM) and on model adaptivity.

A. Kaveh ... 432 pages- Publisher: Springer; (December, 2013) ... Language: English- ISBN-10: 3319029630- ISBN-13: 978-3319029634 ...

Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.

M. Reza Eslami ... 
370 pages - Publisher: Springer; (June 24, 2014)
Language: English - ISBN-10: 3319080369 - ISBN-13: 978-3319080369

This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.

Jacob Fish, Ted Belytschko - 336 pages - Publisher: Wiley; (May 21, 2007)
Language: English - ISBN-10: 0470035803 - ISBN-13: 978-0470035801 

Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student.

This authoritative text on Finite Elements: * Adopts a generic approach to the subject, and is not application specific * In conjunction with a web-based chapter, it integrates code development, theory, and application in one book * Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources * Contains a comprehensive set of homework problems at the end of each chapter * Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study. * Accompanied by a book companion website housing supplementary material that can be found at http://www.wileyeurope.com/college/Fish A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study.

G. R. Liu ... 792 pages - Publisher: CRC Press; 2nd edition (October, 2009) ...
Language: English - ISBN-10: 1420082094 - ISBN-13: 978-1420082098 ...

Reflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edition addresses important new developments, especially on essential theoretical issues.

New to the Second Edition: Much more details on fundamental concepts and important theories for numerical methods. Discussions on special properties of meshfree methods, including stability, convergence, accurate, efficiency, and bound property. More detailed discussion on error estimation and adaptive analysis using meshfree methods. Developments on combined meshfree/finite element method (FEM) models. Comparison studies using meshfree and FEM. Drawing on the author’s own research, this book provides a single-source guide to meshfree techniques and theories that can effectively handle a variety of complex engineering problems. It analyzes how the methods work, explains how to use and develop the methods, and explores the problems associated with meshfree methods.

G. R. Liu, Y. T. Gu ... 480 pages - Publisher: Springer; (July, 2005) ...
Language: English - ISBN-10: 1402032285 - ISBN-13: 978-1402032288 ...

The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.

Noureddine Atalla, Franck Sgard ... 470 pages - Publisher: CRC Press; (April 17, 2015)
Language: English - ISBN-10: 1466592877 - ISBN-13: 978-1466592872

Effectively Construct Integral Formulations Suitable for Numerical Implementation: Finite Element and Boundary Methods in Structural Acoustics and Vibration provides a unique and in-depth presentation of the finite element method (FEM) and the boundary element method (BEM) in structural acoustics and vibrations. It illustrates the principles using a logical and progressive methodology which leads to a thorough understanding of their physical and mathematical principles and their implementation to solve a wide range of problems in structural acoustics and vibration.

Addresses Typical Acoustics, Electrodynamics, and Poroelasticity Problems: It is written for final-year undergraduate and graduate students, and also for engineers and scientists in research and practice who want to understand the principles and use of the FEM and the BEM in structural acoustics and vibrations. It is also useful for researchers and software engineers developing FEM/BEM tools in structural acoustics and vibration.


This text:Reviews current computational methods in acoustics and vibrations with an emphasis on their frequency domains of applications, limitations, and advantages + Presents the basic equations governing linear acoustics, vibrations, and poroelasticity + Introduces the fundamental concepts of the FEM and the BEM in acoustics + Covers direct, indirect, and variational formulations in depth and their implementation and use are illustrated using various acoustic radiation and scattering problems + Addresses the exterior coupled structural–acoustics problem and presents several practical examples to demonstrate the use of coupled FEM/BEM tools, and more.

Finite Element and Boundary Methods in Structural Acoustics and Vibration utilizes authors with extensive experience in developing FEM- and BEM-based formulations and codes and can assist you in effectively solving structural acoustics and vibration problems. The content and methodology have been thoroughly class tested with graduate students at University of Sherbrooke for over ten years.

Ehab Ellobody, Ran Feng, Ben Young ... 218 pages - Publisher: Butterworth-Heinemann; 1st edition (October, 2013) ... Language: English - ISBN-10: 0124165613 - ISBN-13: 978-0124165618 ...

Daniel S. H. Lo ... 672 pages - Publisher: CRC Press; (November, 2014) ... 
Language: English - ISBN-10: 041569048X - ISBN-13: 978-0415690485 ...

Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation + Advancing-front (ADF) approach + Quadtree/Octree techniques + Refinement and optimization-based strategies. From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.

A. J. Baker ... 288 pages - Publisher: Wiley; 1st edition (October, 2012) - Language: English - ISBN-10: 1119940508 - ISBN-13: 978-1119940500 ...

Approaches computational engineering sciences from the perspective of engineering applications Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in the engineering sciences. Key features: * Illustrative examples include heat conduction, structural mechanics, mechanical vibrations, heat transfer with convection and radiation, fluid mechanics and heat and mass transport * Takes a cross-discipline continuum mechanics viewpoint * Includes Matlab toolbox and .m data files on a companion website, immediately enabling hands-on computing in all covered disciplines * Website also features eight topical lectures from the author's own academic courses It provides a holistic view of the topic from covering the different engineering problems that can be solved using finite element to how each particular method can be implemented on a computer. Computational aspects of the method are provided on a companion website facilitating engineering implementation in an easy way.

Somnath Ghosh ... 730 pages- Publisher: CRC Press; (June, 2011) ...
Language: English- ISBN-10: 1420094378 - ISBN-13: 978-1420094374 ...

As multi-phase metal/alloy systems and polymer, ceramic, or metal matrix composite materials are increasingly being used in industry, the science and technology for these heterogeneous materials has advanced rapidly. By extending analytical and numerical models, engineers can analyze failure characteristics of the materials before they are integrated into the design process. Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method addresses the key problem of multi-scale failure and deformation of materials that have complex microstructures. The book presents a comprehensive computational mechanics and materials science–based framework for multi-scale analysis.

The focus is on micromechanical analysis using the Voronoi cell finite element method (VCFEM) developed by the author and his research group for the efficient and accurate modeling of materials with non-uniform heterogeneous microstructures. While the topics covered in the book encompass the macroscopic scale of structural components and the microscopic scale of constituent heterogeneities like inclusions or voids, the general framework may be extended to other scales as well. The book presents the major components of the multi-scale analysis framework in three parts. Dealing with multi-scale image analysis and characterization, the first part of the book covers 2D and 3D image-based microstructure generation and tessellation into Voronoi cells. The second part develops VCFEM for micromechanical stress and failure analysis, as well as thermal analysis, of extended microstructural regions. It examines a range of problems solved by VCFEM, from heat transfer and stress-strain analysis of elastic, elastic-plastic, and viscoplastic material microstructures to microstructural damage models including interfacial debonding and ductile failure. Establishing the multi-scale framework for heterogeneous materials with and without damage, the third part of the book discusses adaptive concurrent multi-scale analysis incorporating bottom-up and top-down modeling.

Erdogan Madenci, Ibrahim Guven ... 
657 pages - Publisher: Springer; 2nd edition (February 11, 2015)
Language: English - ISBN-10: 1489975497 - ISBN-13: 978-1489975492

This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion.

Key topics include: • An introduction to FEM • Fundamentals and analysis capabilities of ANSYS® • Fundamentals of discretization and approximation functions • Modeling techniques and mesh generation in ANSYS® • Weighted residuals and minimum potential energy • Development of macro files • Linear structural analysis • Heat transfer and moisture diffusion • Nonlinear structural problems • Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI Supplementary materials for this book may be downloaded from http://extras.springer.com. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems.

G. R. Liu ... 
712 pages - Publisher: CRC Press; 1st edition (July 29, 2002)
Language: English - ISBN-10: 0849312388 - ISBN-13: 978-0849312380

As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now, however, the limitations of FEM are becoming increasingly evident, and a new and more powerful class of techniques is emerging.

For the first time in book form, Mesh Free Methods: Moving Beyond the Finite Element Method provides full, step-by-step details of techniques that can handle very effectively a variety of mechanics problems. The author systematically explores and establishes the theories, principles, and procedures that lead to mesh free methods. He shows that meshless methods not only accommodate complex problems in the mechanics of solids, structures, and fluids, but they do so with a significant reduction in pre-processing time.

While they are not yet fully mature, mesh free methods promise to revolutionize engineering analysis. Filled with the new and unpublished results of the author's award-winning research team, this book is your key to unlocking the potential of these techniques, implementing them to solve real-world problems, and contributing to further advancements.